Calculate percentages, increases, and decreases
Percentages are one of the most commonly used mathematical concepts in daily life. From calculating tips and discounts to analyzing data and financial information, understanding percentages is essential for making informed decisions.
A percentage is a way of expressing a number as a fraction of 100. The word "percent" comes from the Latin "per centum," meaning "by the hundred." When we say 25%, we mean 25 out of 100, or 25/100, which equals 0.25 as a decimal.
Percentages appear everywhere in modern life: sales tax calculations, interest rates, statistical data, academic grades, business analytics, cooking recipe adjustments, and financial planning. Mastering percentage calculations helps you understand news reports, make smart purchasing decisions, and analyze your personal finances effectively.
Result = (Number × Percentage) ÷ 100
Example: 15% of 200 = (200 × 15) ÷ 100 = 30
Percent Change = ((New Value - Old Value) ÷ Old Value) × 100
Example: From 80 to 100 = ((100 - 80) ÷ 80) × 100 = 25%
Percentage = (Part ÷ Whole) × 100
Example: What percent is 25 of 100? = (25 ÷ 100) × 100 = 25%
Percentage = Decimal × 100
Example: 0.75 = 0.75 × 100 = 75%
Decimal = Percentage ÷ 100
Example: 45% = 45 ÷ 100 = 0.45